
<!DOCTYPE HTML>
<html lang="" >
    <head>
        <meta charset="UTF-8">
        <meta content="text/html; charset=utf-8" http-equiv="Content-Type">
        <title>如何计算时间复杂度 · GitBook</title>
        <meta http-equiv="X-UA-Compatible" content="IE=edge" />
        <meta name="description" content="">
        <meta name="generator" content="GitBook 3.2.3">
        
        
        
    
    <link rel="stylesheet" href="../gitbook/style.css">

    
            
                
                <link rel="stylesheet" href="../gitbook/gitbook-plugin-highlight/website.css">
                
            
                
                <link rel="stylesheet" href="../gitbook/gitbook-plugin-search/search.css">
                
            
                
                <link rel="stylesheet" href="../gitbook/gitbook-plugin-fontsettings/website.css">
                
            
        

    

    
        
    
        
    
        
    
        
    
        
    
        
    

        
    
    
    <meta name="HandheldFriendly" content="true"/>
    <meta name="viewport" content="width=device-width, initial-scale=1, user-scalable=no">
    <meta name="apple-mobile-web-app-capable" content="yes">
    <meta name="apple-mobile-web-app-status-bar-style" content="black">
    <link rel="apple-touch-icon-precomposed" sizes="152x152" href="../gitbook/images/apple-touch-icon-precomposed-152.png">
    <link rel="shortcut icon" href="../gitbook/images/favicon.ico" type="image/x-icon">

    
    <link rel="next" href="../netty.html" />
    
    
    <link rel="prev" href="../suan-fa.html" />
    

    </head>
    <body>
        
<div class="book">
    <div class="book-summary">
        
            
<div id="book-search-input" role="search">
    <input type="text" placeholder="Type to search" />
</div>

            
                <nav role="navigation">
                


<ul class="summary">
    
    

    

    
        
        
    
        <li class="chapter " data-level="1.1" data-path="../">
            
                <a href="../">
            
                    
                    Introduction
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.2" data-path="../code-template.html">
            
                <a href="../code-template.html">
            
                    
                    code-template
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.2.1" data-path="../code-template/excelshang-chuan-xia-zai.html">
            
                <a href="../code-template/excelshang-chuan-xia-zai.html">
            
                    
                    excel动态生成
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.2.2" data-path="../code-template/springbootxia-zai-wen-jian.html">
            
                <a href="../code-template/springbootxia-zai-wen-jian.html">
            
                    
                    springboot下载文件
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.3" data-path="../javaji-chu.html">
            
                <a href="../javaji-chu.html">
            
                    
                    java基础
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.3.1" data-path="../javaji-chu/javaxian-cheng-chi.html">
            
                <a href="../javaji-chu/javaxian-cheng-chi.html">
            
                    
                    多线程
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.3.1.1" data-path="../javaji-chu/javaxian-cheng-chi/xian-cheng-zhuang-tai-ji-zhuan-hua.html">
            
                <a href="../javaji-chu/javaxian-cheng-chi/xian-cheng-zhuang-tai-ji-zhuan-hua.html">
            
                    
                    线程状态及转化
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.3.1.2" data-path="../javaji-chu/javaxian-cheng-chi/javaxian-cheng-chi.html">
            
                <a href="../javaji-chu/javaxian-cheng-chi/javaxian-cheng-chi.html">
            
                    
                    java线程池
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.3.2" data-path="../javaji-chu/wen-ti-pai-cha.html">
            
                <a href="../javaji-chu/wen-ti-pai-cha.html">
            
                    
                    问题排查
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.3.2.1" data-path="../javaji-chu/jstack.html">
            
                <a href="../javaji-chu/jstack.html">
            
                    
                    jstack
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.3.3" data-path="../javaji-chu/springboot.html">
            
                <a href="../javaji-chu/springboot.html">
            
                    
                    springboot
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.3.3.1" data-path="../javaji-chu/springboot/springboot-tian-jia-es-ji-qun.html">
            
                <a href="../javaji-chu/springboot/springboot-tian-jia-es-ji-qun.html">
            
                    
                    springboot 添加es集群
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.3.3.2" data-path="../javaji-chu/springboot/springboot-mongoduo-shu-ju-yuan-pei-zhi.html">
            
                <a href="../javaji-chu/springboot/springboot-mongoduo-shu-ju-yuan-pei-zhi.html">
            
                    
                    springboot mongo多数据源配置
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.3.4" data-path="../javaji-chu/netty.html">
            
                <a href="../javaji-chu/netty.html">
            
                    
                    netty
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.3.5" data-path="../javaji-chu/bian-ma-wen-ti.html">
            
                <a href="../javaji-chu/bian-ma-wen-ti.html">
            
                    
                    编码问题
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.3.5.1" data-path="../javaji-chu/bian-ma-wen-ti/ru-he-li-jie-string-getbytes-fang-fa.html">
            
                <a href="../javaji-chu/bian-ma-wen-ti/ru-he-li-jie-string-getbytes-fang-fa.html">
            
                    
                    如何理解 `String.getBytes` 方法
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.3.5.2" >
            
                <span>
            
                    
                    编码和编码格式
            
                </span>
            

            
        </li>
    

            </ul>
            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.4" data-path="../she-ji-mo-shi.html">
            
                <a href="../she-ji-mo-shi.html">
            
                    
                    设计模式
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.4.1" data-path="../she-ji-mo-shi/mo-ban-fang-fa.html">
            
                <a href="../she-ji-mo-shi/mo-ban-fang-fa.html">
            
                    
                    模板方法
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.4.2" data-path="../she-ji-mo-shi/zhuang-shi-mo-shi.html">
            
                <a href="../she-ji-mo-shi/zhuang-shi-mo-shi.html">
            
                    
                    装饰模式
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.4.3" data-path="../she-ji-mo-shi/shi-pei-qi-mo-shi.html">
            
                <a href="../she-ji-mo-shi/shi-pei-qi-mo-shi.html">
            
                    
                    适配器模式
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.5" data-path="../linux.html">
            
                <a href="../linux.html">
            
                    
                    linux
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.5.1" data-path="../linux/comm.html">
            
                <a href="../linux/comm.html">
            
                    
                    常用命令 comm
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.5.2" data-path="../linux/awk.html">
            
                <a href="../linux/awk.html">
            
                    
                    常用命令 awk
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.5.3" data-path="../linux/cut.html">
            
                <a href="../linux/cut.html">
            
                    
                    常用命令 cut
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.5.4" data-path="../linux/sed.html">
            
                <a href="../linux/sed.html">
            
                    
                    常用命令 sed
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.5.5" data-path="../linux/tr.html">
            
                <a href="../linux/tr.html">
            
                    
                    常用命令 tr
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.5.6" data-path="../linux/sort.html">
            
                <a href="../linux/sort.html">
            
                    
                    常用命令 sort
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.5.7" data-path="../linux/find.html">
            
                <a href="../linux/find.html">
            
                    
                    常用命令 find
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.5.8" data-path="../linux/zip.html">
            
                <a href="../linux/zip.html">
            
                    
                    常用命令 zip
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.5.9" data-path="../linux/chang-yong-ming-ling-shuf.html">
            
                <a href="../linux/chang-yong-ming-ling-shuf.html">
            
                    
                    常用命令 shuf
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.5.10" data-path="../linux/chang-yong-ming-ling-grep.html">
            
                <a href="../linux/chang-yong-ming-ling-grep.html">
            
                    
                    常用命令 grep
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.5.11" data-path="../linux/centos7-bootkong-jian-bu-zu-wen-ti.html">
            
                <a href="../linux/centos7-bootkong-jian-bu-zu-wen-ti.html">
            
                    
                    centos7 boot空间不足问题
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.5.12" data-path="../linux/vim-ru-men.html">
            
                <a href="../linux/vim-ru-men.html">
            
                    
                    vim 入门
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.6" data-path="../sou-suo.html">
            
                <a href="../sou-suo.html">
            
                    
                    搜索
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.6.1" data-path="../sou-suo/elasticsearch.html">
            
                <a href="../sou-suo/elasticsearch.html">
            
                    
                    elasticsearch
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.6.1.1" data-path="../sou-suo/elasticsearch/elasticsearchzhong-wen-fen-ci-cha-xun-wen-ti.html">
            
                <a href="../sou-suo/elasticsearch/elasticsearchzhong-wen-fen-ci-cha-xun-wen-ti.html">
            
                    
                    elasticsearch中文分词查询问题
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.7" data-path="../cun-chu.html">
            
                <a href="../cun-chu.html">
            
                    
                    存储
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.7.1" data-path="../cun-chu/mysqlxiu-gai-mo-ren-shi-qu.html">
            
                <a href="../cun-chu/mysqlxiu-gai-mo-ren-shi-qu.html">
            
                    
                    mysql修改默认时区
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.7.2" data-path="../cun-chu/mysqlchang-yong-sql.html">
            
                <a href="../cun-chu/mysqlchang-yong-sql.html">
            
                    
                    mysql常用sql
            
                </a>
            

            
        </li>
    
        <li class="chapter " data-level="1.7.3" data-path="../cun-chu/dockerbu-shu-mysql-shi-she-zhi-huan-jing-bian-liang.html">
            
                <a href="../cun-chu/dockerbu-shu-mysql-shi-she-zhi-huan-jing-bian-liang.html">
            
                    
                    docker部署mysql时设置环境变量
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.8" data-path="../docker.html">
            
                <a href="../docker.html">
            
                    
                    docker
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.8.1" data-path="../docker/jing-xiang-jia-su.html">
            
                <a href="../docker/jing-xiang-jia-su.html">
            
                    
                    镜像加速
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.9" data-path="../suan-fa.html">
            
                <a href="../suan-fa.html">
            
                    
                    算法相关
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter active" data-level="1.9.1" data-path="ru-he-ji-suan-shi-jian-fu-za-du.html">
            
                <a href="ru-he-ji-suan-shi-jian-fu-za-du.html">
            
                    
                    如何计算时间复杂度
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    
        <li class="chapter " data-level="1.10" data-path="../netty.html">
            
                <a href="../netty.html">
            
                    
                    netty
            
                </a>
            

            
            <ul class="articles">
                
    
        <li class="chapter " data-level="1.10.1" data-path="../netty/xu-lie-hua.html">
            
                <a href="../netty/xu-lie-hua.html">
            
                    
                    序列化
            
                </a>
            

            
        </li>
    

            </ul>
            
        </li>
    

    

    <li class="divider"></li>

    <li>
        <a href="https://www.gitbook.com" target="blank" class="gitbook-link">
            Published with GitBook
        </a>
    </li>
</ul>


                </nav>
            
        
    </div>

    <div class="book-body">
        
            <div class="body-inner">
                
                    

<div class="book-header" role="navigation">
    

    <!-- Title -->
    <h1>
        <i class="fa fa-circle-o-notch fa-spin"></i>
        <a href=".." >如何计算时间复杂度</a>
    </h1>
</div>




                    <div class="page-wrapper" tabindex="-1" role="main">
                        <div class="page-inner">
                            
<div id="book-search-results">
    <div class="search-noresults">
    
                                <section class="normal markdown-section">
                                
                                <h1 id="&#x5982;&#x4F55;&#x8BA1;&#x7B97;&#x65F6;&#x95F4;&#x590D;&#x6742;&#x5EA6;">&#x5982;&#x4F55;&#x8BA1;&#x7B97;&#x65F6;&#x95F4;&#x590D;&#x6742;&#x5EA6;</h1>
<p>&#x732E;&#x4E0A;&#x539F;&#x6587;:<a href="https://mp.weixin.qq.com/s/erWD9cVBl0biXDyzMLD_vQ" target="_blank"> https://mp.weixin.qq.com/s/erWD9cVBl0biXDyzMLD_vQ</a></p>
<blockquote>
<p>&#x65F6;&#x95F4;&#x590D;&#x6742;&#x5EA6;&#x4E00;&#x822C;&#x662F;&#x6307;&#x7B97;&#x6CD5;&#x9700;&#x8981;&#x8BA1;&#x7B97;&#x7684;&#x6B65;&#x9AA4;&#x662F;&#x600E;&#x4E48;&#x6837;&#x7684;&#xFF0C;&#x800C;&#x4E0D;&#x662F;&#x8003;&#x5BDF;&#x7B97;&#x6CD5;&#x8FD0;&#x884C;&#x5177;&#x4F53;&#x9700;&#x8981;&#x591A;&#x957F;&#x65F6;&#x95F4;&#x3002;</p>
</blockquote>
<p>&#x5E38;&#x89C1;&#x7684;&#x6570;&#x91CF;&#x7EA7;&#x51FD;&#x6570;:</p>
<table>
<thead>
<tr>
<th style="text-align:left">f(n)</th>
<th style="text-align:left">&#x9636;</th>
<th style="text-align:left">&#x51FD;&#x6570;&#x540D;</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left">1</td>
<td style="text-align:left">O(1)</td>
<td style="text-align:left">&#x5E38;&#x6570;&#x51FD;&#x6570;</td>
</tr>
<tr>
<td style="text-align:left">2n+1</td>
<td style="text-align:left">O(n)</td>
<td style="text-align:left">&#x7EBF;&#x6027;&#x51FD;&#x6570;</td>
</tr>
<tr>
<td style="text-align:left">2n^2+2n+2</td>
<td style="text-align:left">O(n^2)</td>
<td style="text-align:left">&#x4E8C;&#x6B21;&#x51FD;&#x6570;</td>
</tr>
<tr>
<td style="text-align:left">2log2n+2</td>
<td style="text-align:left">O(logn)</td>
<td style="text-align:left">&#x5BF9;&#x6570;&#x51FD;&#x6570;</td>
</tr>
<tr>
<td style="text-align:left">2nlog2n+2n+2</td>
<td style="text-align:left">O(nlogn)</td>
<td style="text-align:left">nlogn&#x51FD;&#x6570;</td>
</tr>
<tr>
<td style="text-align:left">2n^3+2n+2</td>
<td style="text-align:left">O(n^3)</td>
<td style="text-align:left">&#x4E09;&#x6B21;&#x51FD;&#x6570;</td>
</tr>
<tr>
<td style="text-align:left">2^n</td>
<td style="text-align:left">O(2^n)</td>
<td style="text-align:left">&#x6307;&#x6570;&#x51FD;&#x6570;</td>
</tr>
</tbody>
</table>
<p><img src="../assets/640.webp" alt=""></p>
<p>&#x5F53;n&#x53D8;&#x5927;&#x65F6;&#xFF0C;&#x8BA1;&#x7B97;&#x6B65;&#x9AA4;&#x4E5F;&#x4F1A;&#x8DDF;&#x7740;&#x589E;&#x52A0;&#x590D;&#x6742;&#x5EA6;&#x5173;&#x7CFB;&#x663E;&#x800C;&#x6613;&#x89C1;</p>
<h4 id="o1--ologn--on--onlogn--on2--on3--o2n">O(1) &lt; O(logn) &lt; O(n) &lt; O(nlogn) &lt; O(n^2) &lt; O(n^3) &lt; O(2^n)</h4>
<h2 id="&#x590D;&#x6742;&#x5EA6;&#x8BA1;&#x7B97;demo">&#x590D;&#x6742;&#x5EA6;&#x8BA1;&#x7B97;Demo</h2>
<pre><code>a = 1
b = 2
c = 3

for i in range(n):
   for j in range(n):
       x = i * i
       y = j * j
       z = i * j

for k in range(n):
   u = a * k + b
   v = c * c

d = 4
</code></pre><p>&#x5982;&#x4E0A;&#x6240;&#x793A;&#x7B97;&#x6CD5;&#x53EF;&#x4EE5;&#x5206;&#x6210;&#x56DB;&#x4E2A;&#x90E8;&#x5206;&#x8FDB;&#x884C;&#x65F6;&#x95F4;&#x590D;&#x6742;&#x5EA6;&#x8BA1;&#x7B97;</p>
<ol>
<li>&#x5BF9;a&#x3001;b&#x3001;c&#x8FDB;&#x884C;&#x8D4B;&#x503C;&#xFF0C;&#x6267;&#x884C;&#x4E09;&#x6B21;</li>
<li>&#x53CC;&#x5C42;&#x5FAA;&#x73AF;&#xFF0C;&#x5982;&#x679C;&#x53EA;&#x6709;&#x4E00;&#x4E2A;&#x8D4B;&#x503C;&#x64CD;&#x4F5C;&#x7684;&#x8BDD; &#x5C31;&#x662F; n*n, &#x73B0;&#x5728;&#x6BCF;&#x6B21;&#x90FD;&#x662F;&#x8FDB;&#x884C;&#x4E09;&#x6B21;&#x8D4B;&#x503C;&#xFF0C;&#x6240;&#x4EE5;&#x662F; 3*n*n</li>
<li>&#x5355;&#x5C42;&#x5FAA;&#x73AF;&#xFF0C;2*n</li>
<li>&#x5E38;&#x6570;&#x8D4B;&#x503C; &#x6267;&#x884C;&#x4E00;&#x6B21;</li>
</ol>
<p>&#x6240;&#x4EE5;&#x5F97;&#x5230; T(n) = 3+ 3*n^2+2n+1 = 3*n^2 + 2n +4, &#x770B;&#x5230;&#x6307;&#x6570;&#x9879;&#xFF0C;&#x81EA;&#x7136;&#x7684;&#x53D1;&#x73B0;&#x662F; n^2 &#x505A;&#x4E3B;&#x5BFC;,&#x4F46; n &#x589E;&#x5927;&#x65F6;&#xFF0C;&#x540E;&#x9762;&#x4E24;&#x9879;&#x53EF;&#x4EE5;&#x5FFD;&#x7565;&#x6389;&#x3002;&#x6240;&#x4EE5;&#x65F6;&#x95F4;&#x590D;&#x6742;&#x5EA6;&#x5C31;&#x662F; O(n^2)</p>

                                
                                </section>
                            
    </div>
    <div class="search-results">
        <div class="has-results">
            
            <h1 class="search-results-title"><span class='search-results-count'></span> results matching "<span class='search-query'></span>"</h1>
            <ul class="search-results-list"></ul>
            
        </div>
        <div class="no-results">
            
            <h1 class="search-results-title">No results matching "<span class='search-query'></span>"</h1>
            
        </div>
    </div>
</div>

                        </div>
                    </div>
                
            </div>

            
                
                <a href="../suan-fa.html" class="navigation navigation-prev " aria-label="Previous page: 算法相关">
                    <i class="fa fa-angle-left"></i>
                </a>
                
                
                <a href="../netty.html" class="navigation navigation-next " aria-label="Next page: netty">
                    <i class="fa fa-angle-right"></i>
                </a>
                
            
        
    </div>

    <script>
        var gitbook = gitbook || [];
        gitbook.push(function() {
            gitbook.page.hasChanged({"page":{"title":"如何计算时间复杂度","level":"1.9.1","depth":2,"next":{"title":"netty","level":"1.10","depth":1,"path":"netty.md","ref":"netty.md","articles":[{"title":"序列化","level":"1.10.1","depth":2,"path":"netty/xu-lie-hua.md","ref":"netty/xu-lie-hua.md","articles":[]}]},"previous":{"title":"算法相关","level":"1.9","depth":1,"path":"suan-fa.md","ref":"suan-fa.md","articles":[{"title":"如何计算时间复杂度","level":"1.9.1","depth":2,"path":"suan-fa/ru-he-ji-suan-shi-jian-fu-za-du.md","ref":"suan-fa/ru-he-ji-suan-shi-jian-fu-za-du.md","articles":[]}]},"dir":"ltr"},"config":{"gitbook":"*","theme":"default","variables":{},"plugins":[],"pluginsConfig":{"highlight":{},"search":{},"lunr":{"maxIndexSize":1000000,"ignoreSpecialCharacters":false},"sharing":{"facebook":true,"twitter":true,"google":false,"weibo":false,"instapaper":false,"vk":false,"all":["facebook","google","twitter","weibo","instapaper"]},"fontsettings":{"theme":"white","family":"sans","size":2},"theme-default":{"styles":{"website":"styles/website.css","pdf":"styles/pdf.css","epub":"styles/epub.css","mobi":"styles/mobi.css","ebook":"styles/ebook.css","print":"styles/print.css"},"showLevel":false}},"structure":{"langs":"LANGS.md","readme":"README.md","glossary":"GLOSSARY.md","summary":"SUMMARY.md"},"pdf":{"pageNumbers":true,"fontSize":12,"fontFamily":"Arial","paperSize":"a4","chapterMark":"pagebreak","pageBreaksBefore":"/","margin":{"right":62,"left":62,"top":56,"bottom":56}},"styles":{"website":"styles/website.css","pdf":"styles/pdf.css","epub":"styles/epub.css","mobi":"styles/mobi.css","ebook":"styles/ebook.css","print":"styles/print.css"}},"file":{"path":"suan-fa/ru-he-ji-suan-shi-jian-fu-za-du.md","mtime":"2018-11-19T13:54:03.766Z","type":"markdown"},"gitbook":{"version":"3.2.3","time":"2019-01-30T06:15:10.391Z"},"basePath":"..","book":{"language":""}});
        });
    </script>
</div>

        
    <script src="../gitbook/gitbook.js"></script>
    <script src="../gitbook/theme.js"></script>
    
        
        <script src="../gitbook/gitbook-plugin-search/search-engine.js"></script>
        
    
        
        <script src="../gitbook/gitbook-plugin-search/search.js"></script>
        
    
        
        <script src="../gitbook/gitbook-plugin-lunr/lunr.min.js"></script>
        
    
        
        <script src="../gitbook/gitbook-plugin-lunr/search-lunr.js"></script>
        
    
        
        <script src="../gitbook/gitbook-plugin-sharing/buttons.js"></script>
        
    
        
        <script src="../gitbook/gitbook-plugin-fontsettings/fontsettings.js"></script>
        
    

    </body>
</html>

